Solve 4/2016/1915/1814/17frac{13}{16}frac{12}{15}*6

$$\frac{ 4 }{ 20 } \frac{ 16 }{ 19 } \frac{ 15 }{ 18 } \frac{ 14 }{ 17 } \frac{ 13 }{ 16 } \frac{ 12 }{ 15 } \times 6$$

Evaluate

$$\frac{728}{1615}\approx 0.450773994$$

Solution Steps

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$\frac{1}{5}\times \frac{16}{19}\times \frac{15}{18}\times \frac{14}{17}\times \frac{13}{16}\times \frac{12}{15}\times 6$$

Multiply \frac{1}{5} times \frac{16}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 16}{5\times 19}\times \frac{15}{18}\times \frac{14}{17}\times \frac{13}{16}\times \frac{12}{15}\times 6$$

Do the multiplications in the fraction \frac{1\times 16}{5\times 19}.

$$\frac{16}{95}\times \frac{15}{18}\times \frac{14}{17}\times \frac{13}{16}\times \frac{12}{15}\times 6$$

Reduce the fraction \frac{15}{18} to lowest terms by extracting and canceling out 3.

$$\frac{16}{95}\times \frac{5}{6}\times \frac{14}{17}\times \frac{13}{16}\times \frac{12}{15}\times 6$$

Multiply \frac{16}{95} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{16\times 5}{95\times 6}\times \frac{14}{17}\times \frac{13}{16}\times \frac{12}{15}\times 6$$

Do the multiplications in the fraction \frac{16\times 5}{95\times 6}.

$$\frac{80}{570}\times \frac{14}{17}\times \frac{13}{16}\times \frac{12}{15}\times 6$$

Reduce the fraction \frac{80}{570} to lowest terms by extracting and canceling out 10.

$$\frac{8}{57}\times \frac{14}{17}\times \frac{13}{16}\times \frac{12}{15}\times 6$$

Multiply \frac{8}{57} times \frac{14}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 14}{57\times 17}\times \frac{13}{16}\times \frac{12}{15}\times 6$$

Do the multiplications in the fraction \frac{8\times 14}{57\times 17}.

$$\frac{112}{969}\times \frac{13}{16}\times \frac{12}{15}\times 6$$

Multiply \frac{112}{969} times \frac{13}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{112\times 13}{969\times 16}\times \frac{12}{15}\times 6$$

Do the multiplications in the fraction \frac{112\times 13}{969\times 16}.

$$\frac{1456}{15504}\times \frac{12}{15}\times 6$$

Reduce the fraction \frac{1456}{15504} to lowest terms by extracting and canceling out 16.

$$\frac{91}{969}\times \frac{12}{15}\times 6$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{91}{969}\times \frac{4}{5}\times 6$$

Multiply \frac{91}{969} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{91\times 4}{969\times 5}\times 6$$

Do the multiplications in the fraction \frac{91\times 4}{969\times 5}.

$$\frac{364}{4845}\times 6$$

Express \frac{364}{4845}\times 6 as a single fraction.

$$\frac{364\times 6}{4845}$$

Multiply 364 and 6 to get 2184.

$$\frac{2184}{4845}$$

Reduce the fraction \frac{2184}{4845} to lowest terms by extracting and canceling out 3.

$$\frac{728}{1615}$$

Factor

$$\frac{2 ^ {3} \cdot 7 \cdot 13}{5 \cdot 17 \cdot 19} = 0.45077399380804956$$